Open Access

Exponential Sequence in the Operational Calculus Model for the nTH-Order Forward Difference

   | Jun 28, 2019

Cite

[1] Bittner R., On certain axiomatics for the operational calculus, ‘Bull. Acad. Polon. Sci.’, Cl. III, 1959, 7(1), pp. 1–9.Search in Google Scholar

[2] Bittner R., Operational calculus in linear spaces, ‘Studia Math.’, 1961, 20, pp. 1–18.10.4064/sm-20-1-1-18Search in Google Scholar

[3] Bittner R., Algebraic and analytic properties of solutions of abstract differential equations, ‘Rozprawy Matematyczne’ [‘Dissertationes Math.’], 42, PWN, Warszawa 1964.Search in Google Scholar

[4] Bittner R., Rachunek operatorów w przestrzeniach liniowych, PWN, Warszawa 1974 [Operational Calculus in Linear Spaces — available in Polish].Search in Google Scholar

[5] Bittner R., Mieloszyk E., About eigenvalues of differential equations in the operational calculus, ‘Zeszyty Naukowe Politechniki Gdańskiej. Matematyka XI’, 1978, 285, pp. 87–99.Search in Google Scholar

[6] Mieloszyk E., Example of operational calculus, ‘Zeszyty Naukowe Politechniki Gdańskiej. Matematyka XIII’, 1985, 383, pp. 151–157.Search in Google Scholar

[7] Mikusiński J., Operational Calculus, Pergamon Press, London 1959.Search in Google Scholar

[8] Wysocki H., The result derivative, distributive results, ‘Acta Math. Hungarica’, 1989, 53(3–4), pp. 289–307.10.1007/BF01953369Search in Google Scholar

[9] Wysocki H., An operational calculus model for the nthorder forward difference, ‘Zeszyty Naukowe Akademii Marynarki Wojennej — Scientific Journal of PNA’, 2017, 3(210), pp. 107–117.Search in Google Scholar